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Finding the Fourth Proportional to 766.81, 1,150.07 and 246.79

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Solution

The fourth proportional to 766.81, 1,150.07 and 246.79 is: 370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.81 : 1,150.07 = 246.79 : x
  2. Step 2: Convert to fraction form
    766.81/1,150.07 = 246.79/x
  3. Step 3: Cross multiply
    766.81x = 1,150.07 × 246.79
  4. Step 4: Simplify right side
    766.81x = 283,820.02
  5. Step 5: Solve for x
    x = 283,820.02/766.81
  6. Step 6: Final answer
    x = 370.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.